Eigenvalues restricted by Lyapunov exponent of eigenstates

• URL: http://arxiv.org/abs/2206.09803v1
• Date: Mon, 20 Jun 2022 14:36:02 GMT
• Title: Eigenvalues restricted by Lyapunov exponent of eigenstates
• Authors: Tong Liu and Xu Xia
• Abstract summary: Lyapunov exponents of eigenstates inhibit imaginary parts of eigenvalues. Non-conservative Hamiltonians can exhibit real spectra as long as Lyapunov exponents inhibit imaginary parts of eigenvalues.
• Score: 6.840837290233417
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We point out that the Lyapunov exponent of the eigenstate places restrictions on the eigenvalue. Consequently, with regard to non-Hermitian systems, even without any symmetry, the non-conservative Hamiltonians can exhibit real spectra as long as Lyapunov exponents of eigenstates inhibit imaginary parts of eigenvalues. Our findings open up a new route to study non-Hermitian physics.

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